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Finding the Third Proportional to 32,306,163.75 and 69,153,462

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Solution

The third proportional to 32,306,163.75 and 69,153,462 is: 148,027,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306,163.75 : 69,153,462 = 69,153,462 : x
  2. Step 2: Convert to fraction form
    32,306,163.75/69,153,462 = 69,153,462/x
  3. Step 3: Cross multiply
    32,306,163.75x = 69,153,462 × 69,153,462
  4. Step 4: Simplify right side
    32,306,163.75x = 4,782,201,306,585,444
  5. Step 5: Solve for x
    x = 4,782,201,306,585,444/32,306,163.75
  6. Step 6: Final answer
    x = 148,027,520.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.